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3 years ago

I dont know how to solve this one

Mathematics

2 answers:

Olenka [21]3 years ago

5 0

Answer:

The answer is the second option or B, you have to divide the top number by the bottom number to get a unit rate.

AleksAgata [21]3 years ago

3 0

Answer:

55.5 mi/1h

Step-by-step explanation:

solution.

from 60minute is 1 hour

and 333mi =x h

get 333mi/xh = 60mi/1h

x = 55.5 h or 55.5mi/h

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If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value S₁ = 1.

• Assume the closed form is correct for all n up to n = k. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

2 years ago

Find the range of the function f(x) = 4x - 7,

ratelena [41]

Answer:

(- 19, - 11, 5, 25)

Step-by-step explanation:

The given function is f(x) = 4x - 7

Now, we have to find the range of the given function for the given domains.

The domains are given as (2 - 5, - 1, 3, 8) i.e. (- 3, - 1, 3, 8).

Therefore, f(- 3) = 4(- 3) - 7 = - 19

f(- 1) = 4(- 1) - 7 = - 11

f(3) = 4(3) - 7 = 5

f(8) = 4(8) - 7 = 25

So, the ranges of the function are (- 19, - 11, 5, 25) (Answer)

8 0

3 years ago

What is the product of 3(7x + 5)

omeli [17]

Answer: 28x+15

Step-by-step explanation:

5 0

2 years ago

I’m about to cry from frustration. Help please before I die

kvv77 [185]

Answer:

$\frac{1}{3}x+16=37$

63 Jelly Beans

Step-by-step explanation:

The unknown is the number of jelly beans originally in the bag or x

First he had x jelly beans

The he ate one-third of them

$\frac{1}{3}x$

He then ate 16 more jelly beans

$\frac{1}{3}x+16$

This was equal to 37 jelly beans

$\frac{1}{3}x+16=37$

This is the equation

Now solve for x

Subtract 16 from both sides

$\frac{1}{3}x=21$

Multiply both sides by 3

$x=63$

63 Jelly Beans

7 0

2 years ago

Read 2 more answers

Area of rectangular figures

iren2701 [21]

Answer:

531 in^2

Step-by-step explanation:

21 x 18 = 378 in^2

17 x 9 = 153 in^2

378 + 153 = 531 in^2

3 0

2 years ago

I dont know how to solve this one ​

I dont know how to solve this one